Sanitation trucks dump refuse seven days a week at a single garbage dump in the village of Aurora. A barge removes the garbage from the dump and transports it to an incinerator where it is burned. The barge has a capacity of 2500 tons of garbage. It takes one week from the time it is called for the barge to arrive at the dump site. The dump site has a capacity of 2100 tons of garbage. Each time the barge is used the dump incurs a cost of $5000 regardless of the amount of garbage removed. For each ton of
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